When you have two or more linear equations, it is called a "system of linear equations".
The solution to a system of linear equations consists of the x - and y-value that make BOTH equations true.
Graphically, this appears as the point where the lines intersect.
In this case, the solution is the ordered pair , (2,3) as shown on the graph.
If you are trying to decide whether a system of equations has a solution, would you rather have the equations or the graphs? Why?
If you are trying to decide whether a system of equations has a solution, it is generally more helpful to have the equations rather than the graphs. This is because the equations provide the numerical values of the variables (x and y) that satisfy both equations simultaneously. By substituting these values into the equations, you can verify if they are a solution or not.
On the other hand, graphs can sometimes provide a visual representation of the system and can help in understanding the relationship between the equations and their intersection point(s). However, relying solely on the graphs can be less precise and may lead to approximation errors. Therefore, equations are generally preferred as they provide a more definitive and accurate method for determining if a system of equations has a solution.